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  • Need solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Fill in the blanks question 23

Need solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Fill in the blanks question  23

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Answer: the correct answer is ='0'

Hint: y=\cos \left(\sin x^{2}\right) \frac{d}{d x} \sin x=-\cos x

       \frac{dy}{d x}=-\sin \left(\sin x^{2}\right)-\cos x^{2} \cdot 2 x

Given: y=\cos \left(\sin x^{2}\right)

Solution:  using \frac{dy}{dx} to get the value at \frac{\lambda }{2}

Now at x=\sqrt{\pi / 2}

\frac{d}{d x}=-\sin \left(\sin \sqrt{\frac{\pi}{2}}\right) \cdot \cos \sqrt{\frac{\pi}{2}} \cdot 2 \sqrt{\frac{\pi}{2}}=0

So the correct answer is ‘0'

Posted by

infoexpert26

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